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arXiv · 1408.4088

Geometry of Centroaffine Surfaces in $\mathbb{R}^5$

Nathaniel Bushek·Jeanne N. Clelland
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Abstract

We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in $\mathbb{R}^5 \setminus \{0\}$ with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.

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Nathaniel Bushek, Jeanne N. Clelland. 2015-01-06. Geometry of Centroaffine Surfaces in $\mathbb{R}^5$. https://doi.org/10.3842/sigma.2015.001

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